English

Quasi-isometries between non-locally-finite graphs and structure trees

Combinatorics 2007-05-23 v1 Group Theory

Abstract

We prove several criteria for quasi-isometry between non-locally-finite graphs and their structure trees. Results of M\"oller in \cite{moeller92ends2} for locally finite and transitive graphs are generalized. We also give a criterion which describes quasi-isometry by how edge-ends are split up by the cuts of a structure tree.

Keywords

Cite

@article{arxiv.math/0010043,
  title  = {Quasi-isometries between non-locally-finite graphs and structure trees},
  author = {Bernhard Krön},
  journal= {arXiv preprint arXiv:math/0010043},
  year   = {2007}
}

Comments

16 pages

R2 v1 2026-07-22T16:35:01.340Z